Question

If kerosene, coloured saline water and water are taken in a bottle ,
How are they arranged? give reason

Answer 1

Explanation:

10th term of an A.P is \sf \dfrac{1}{20}

20

1

and it's 20th term is \sf \dfrac{1}{10}

10

1

.

\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}†

ToFind:−

Sum of the first 200 terms of the A.P.

\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}†

Solution:−

First,

10th term of the A.P = \sf \dfrac{1}{20}

20

1

This implies that,

\sf a_{10} \: = \: \dfrac{1}{20}a

10

=

20

1

a + 9d = \sf \dfrac{1}{20} \longrightarrow \boxed{1}

20

1

⟶

1

Now,

20th term of the A.P = \sf \dfrac{1}{10}

10

1

This implies that,

\sf a_{20} \: = \: \dfrac{1}{10}a

20

=

10

1

a + 19d = \sf \dfrac{1}{10} \longrightarrow \boxed{2}

10

1

⟶

2

Now,

\boxed{2} \: - \: \boxed{1}

2

−

1

,

a + 19d = \sf \dfrac{1}{10}

10

1

- \bigg(( a + 9d = \sf \dfrac{1}{20}

20

1

\bigg))

Then,

\sf \cancel{a}

a

+ 19d = \sf \dfrac{1}{10}

10

1

\sf \cancel{- \: a}

−a

- 9d = \sf - \: \dfrac{1}{20}−

20

1

————————————

10d = \sf \dfrac{1}{10} - \dfrac{1}{20}

10

1

−

20

1

Then,

10d = \sf \dfrac{2}{20} - \dfrac{1}{20}

20

2

−

20

1

10d = \sf \dfrac{2 - 1}{20}

20

2−1

10d = \sf \dfrac{1}{20}

20

1

d = \sf \dfrac{1}{20 * 10}

20∗10

1

d = \sf \dfrac{1}{200}

200

1

Answer 2

Answer:

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Explanation:

हिमालयाची सर्वात अर्वाचीन पर्वतरांग शिवालिक आहे.